The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group
We prove that N(f)=|L(f)| for any continuous map f of a given infranilmanifold with Abelian holonomy group of odd order. This theorem is the analogue of a theorem of Anosov for continuous maps on nilmanifolds. We will also show that although their fundamental groups are solvable, the infranilmanifol...
Main Authors: | H. Pouseele, B. De Rock, K. Dekimpe |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2006-03-01
|
Series: | Fixed Point Theory and Applications |
Online Access: | http://dx.doi.org/10.1155/FPTA/2006/63939 |
Similar Items
-
The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group
by: Dekimpe K, et al.
Published: (2006-01-01) -
The anosov theorem for infranilmanifolds with an odd-order abelian holonomy group
Published: (2006-01-01) -
Finite groups in which every subgroup off odd order is abelian
by: Thwaites, G. N.
Published: (1973) -
On the Basis Theorem for Abelian Groups
by: Chapman, Robert Marsden
Published: (1964) -
Transitive conformal holonomy groups
by: Alt Jesse
Published: (2012-10-01)